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2009261683 = 111331214621
BaseRepresentation
bin111011111000010…
…1110011001110011
312012000210001212101
41313300232121303
513103332333213
6531213241231
7100535304532
oct16760563163
95160701771
102009261683
119411a3050
12480a93217
1326036ab50
14150bca319
15bb5e1bdd
hex77c2e673

2009261683 has 24 divisors (see below), whose sum is σ = 2439300528. Its totient is φ = 1631592000.

The previous prime is 2009261663. The next prime is 2009261689. The reversal of 2009261683 is 3861629002.

It is not a de Polignac number, because 2009261683 - 229 = 1472390771 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2009261689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130113 + ... + 144733.

It is an arithmetic number, because the mean of its divisors is an integer number (101637522).

Almost surely, 22009261683 is an apocalyptic number.

2009261683 is a deficient number, since it is larger than the sum of its proper divisors (430038845).

2009261683 is a wasteful number, since it uses less digits than its factorization.

2009261683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14707 (or 14676 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 2009261683 is about 44824.7887111585. The cubic root of 2009261683 is about 1261.8628870871.

The spelling of 2009261683 in words is "two billion, nine million, two hundred sixty-one thousand, six hundred eighty-three".

Divisors: 1 11 13 31 143 341 403 961 4433 10571 12493 14621 137423 160831 190073 453251 2090803 4985761 5892263 14050781 64814893 154558591 182660153 2009261683